Modules / Lectures


Sl.No Chapter Name MP4 Download
1Test Functions - Part 1Download
2Test Functions - Part 2Download
3DistributionsDownload
4Examples - Part 1Download
5Distribution DerivativesDownload
6More operations on distributionsDownload
7Support of a distributionDownload
8Distributions with compact support; singular support - Part 1Download
9Distributions with compact support; singular support - Part 2Download
10Exercises - Part 1Download
11Convolution of functions - Part 1Download
12Convolution of functions - Part 2Download
13Convolution of functions - Part 3Download
14Convolution of distributions - Part 1Download
15Convolution of distributions - Part 2Download
16Convolution of distributions - Part 3Download
17Exercises - Part 2Download
18Fundamental solutionsDownload
19The Fourier transformDownload
20The Schwarz space - Part 1Download
21The Schwarz space - Part 2Download
22Examples - Part 1Download
23Fourier inversion formulaDownload
24Tempered distributionsDownload
25Exercises - Part 3Download
26Sobolev spaces - Part 1Download
27Sobolev spaces - Part 2Download
28Sobolev spaces - Part 3Download
29Approximation by smooth functionsDownload
30Chain rule and applications - Part 1Download
31Chain rule and applications - Part 2Download
32Extension theorems - Part 1Download
33Extension theorems - Part 2Download
34Poincare's inequlityDownload
35Exercises - Part 4Download
36Exercises - Part 5Download
37Imbedding theoremsDownload
38Imbedding theorems: Case p less than N - Part 1Download
39Imbedding theorems:Case p = N - Part 2Download
40Imbedding theorems: Case p greater than N - Part 3Download
41Compactness theorems - Part 1Download
42Compactness theorems - Part 2Download
43Compactness theorems - Part 3Download
44The spaces W^{s,p}Download
45spaces W^{s,p} and Trace spacesDownload
46Trace theory - Part 1Download
47Trace theory - Part 2Download
48Trace theory - Part 3Download
49Trace theory - Part 4Download
50Exercises - Part 6Download
51Exercises - Part 7Download
52Abstract variational problems - Part 1Download
53Abstract variational problems - Part 2Download
54Weak solutions of elliptic boundary value problems - Part 1Download
55Weak solutions of elliptic boundary value problems - Part 2Download
56Neumann problemsDownload
57The Biharmonic operatorDownload
58The elasticity systemDownload
59Exercises - Part 8Download
60Exercises - Part 9Download
61Exercises - Part 9Download
62Maximum Principles - Part 1Download
63Maximum Principles - Part 2Download
64Exercises - Part 10Download
65Exercises - Part 11Download
66Eigenvalue problems - Part 1Download
67Eigenvalue problems - Part 2Download
68Eigenvalue problems - Part 3Download
69Exercises - Part 12Download
70Exercises - Part 13Download
71Unbounded operators - Part 1Download
72Unbounded operators - Part 2Download
73The exponential mapDownload
74C_0 Semigroups - Part 1Download
75C_0 Semigroups - Part 2Download
76Infinitesimal generators of contraction semigroupsDownload
77Hille-Yosida theoremDownload
78RegularityDownload
79Contraction semigroups on Hilbert spacesDownload
80Self-adjoint case and the case of isometriesDownload
81The heat equationDownload
82The wave equationDownload
83The Schrodinger equationDownload
84The inhomogeneous equationDownload
85Exercises - 14Download

Sl.No Chapter Name English
1Test Functions - Part 1Download
Verified
2Test Functions - Part 2Download
Verified
3DistributionsDownload
Verified
4Examples - Part 1Download
Verified
5Distribution DerivativesDownload
Verified
6More operations on distributionsDownload
Verified
7Support of a distributionDownload
Verified
8Distributions with compact support; singular support - Part 1Download
Verified
9Distributions with compact support; singular support - Part 2Download
Verified
10Exercises - Part 1Download
Verified
11Convolution of functions - Part 1Download
Verified
12Convolution of functions - Part 2Download
Verified
13Convolution of functions - Part 3Download
Verified
14Convolution of distributions - Part 1Download
Verified
15Convolution of distributions - Part 2Download
Verified
16Convolution of distributions - Part 3Download
Verified
17Exercises - Part 2Download
Verified
18Fundamental solutionsDownload
Verified
19The Fourier transformDownload
Verified
20The Schwarz space - Part 1Download
Verified
21The Schwarz space - Part 2Download
Verified
22Examples - Part 1Download
Verified
23Fourier inversion formulaDownload
Verified
24Tempered distributionsDownload
Verified
25Exercises - Part 3Download
Verified
26Sobolev spaces - Part 1Download
Verified
27Sobolev spaces - Part 2Download
Verified
28Sobolev spaces - Part 3Download
Verified
29Approximation by smooth functionsDownload
Verified
30Chain rule and applications - Part 1Download
Verified
31Chain rule and applications - Part 2Download
Verified
32Extension theorems - Part 1Download
Verified
33Extension theorems - Part 2Download
Verified
34Poincare's inequlityDownload
Verified
35Exercises - Part 4Download
Verified
36Exercises - Part 5Download
Verified
37Imbedding theoremsDownload
Verified
38Imbedding theorems: Case p less than N - Part 1Download
Verified
39Imbedding theorems:Case p = N - Part 2Download
Verified
40Imbedding theorems: Case p greater than N - Part 3Download
Verified
41Compactness theorems - Part 1Download
Verified
42Compactness theorems - Part 2Download
Verified
43Compactness theorems - Part 3Download
Verified
44The spaces W^{s,p}Download
Verified
45spaces W^{s,p} and Trace spacesDownload
Verified
46Trace theory - Part 1Download
Verified
47Trace theory - Part 2Download
Verified
48Trace theory - Part 3Download
Verified
49Trace theory - Part 4Download
Verified
50Exercises - Part 6Download
Verified
51Exercises - Part 7Download
Verified
52Abstract variational problems - Part 1Download
Verified
53Abstract variational problems - Part 2Download
Verified
54Weak solutions of elliptic boundary value problems - Part 1Download
Verified
55Weak solutions of elliptic boundary value problems - Part 2Download
Verified
56Neumann problemsDownload
Verified
57The Biharmonic operatorDownload
Verified
58The elasticity systemDownload
Verified
59Exercises - Part 8Download
Verified
60Exercises - Part 9Download
Verified
61Exercises - Part 9Download
Verified
62Maximum Principles - Part 1Download
Verified
63Maximum Principles - Part 2Download
Verified
64Exercises - Part 10Download
Verified
65Exercises - Part 11Download
Verified
66Eigenvalue problems - Part 1Download
Verified
67Eigenvalue problems - Part 2Download
Verified
68Eigenvalue problems - Part 3Download
Verified
69Exercises - Part 12Download
Verified
70Exercises - Part 13Download
Verified
71Unbounded operators - Part 1Download
Verified
72Unbounded operators - Part 2Download
Verified
73The exponential mapDownload
Verified
74C_0 Semigroups - Part 1Download
Verified
75C_0 Semigroups - Part 2Download
Verified
76Infinitesimal generators of contraction semigroupsDownload
Verified
77Hille-Yosida theoremDownload
Verified
78RegularityDownload
Verified
79Contraction semigroups on Hilbert spacesDownload
Verified
80Self-adjoint case and the case of isometriesDownload
Verified
81The heat equationDownload
Verified
82The wave equationDownload
Verified
83The Schrodinger equationDownload
Verified
84The inhomogeneous equationDownload
Verified
85Exercises - 14Download
Verified


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